Write the equation of the line in fully simplified slope-intercept form.
12
11
10
-12-11-10-9-8
1 2 3
5 6
8 9 10 11 12
-3
-4
-9
-10

Answer:

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Step-by-step explanation:

Let be the following system of equations:

[tex]2\cdot x + 3\cdot y = 12[/tex] (1)

[tex]x\cdot y = 6[/tex] (2)

Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:

From (1):

[tex]2\cdot x + 3\cdot y = 12[/tex]

[tex]2\cdot x = 12- 3\cdot y[/tex]

[tex]x = 6 - \frac{3}{2}\cdot y[/tex]

(1) in (2):

[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]

[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]

[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]

The roots of the polynomial are determined by the Quadratic Formula:

[tex]y_{1} = y_{2} = 2[/tex]

By (1):

[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]

[tex]x = 3[/tex]

If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:

[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]

[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]

[tex]z = 432[/tex]

The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.

Answer:

it helps you balance your checkbook

Step-by-step explanation:

Balancing your checkbook means that you do a check in your account that shows how much money is available.

I hope it helps❤️

Answer:

D. all real numbers greater than or equal to 2

Step-by-step explanation:

Range values consists of all possible set of y-value plotted on the vertical axis. So, we are looking at the y-values on the y-axis (vertical axis).

The line starts at 2 on the y-axis. The shaded "o" means that 2 is included or the range of the function is 2 or above.

Thus, this means that:

the range of the function of the graph are "all real numbers greater than or equal to 2."

The Range of the function are all real numbers greater than or equal to 2

The Range of a function is the output values or values of the dependent variable of a function.

Since the y - axis represents the dependent variable, the Range of the function is the values of y given from the graph. The values of y given from the graph range from and include 2 to ∞. The value 2 is included since it is shaded.

So, the Range of the function are all real numbers greater than or equal to 2

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Answer:

A is wrong

Step-by-step explanation:

Answer:

A(-a)*(-1)=(-a)

Step-by-step explanation:

Anything multiplied by 0 is 0. Therefore, option B is correct.

Option A is wrong because when multiplying two negatives you should get a positive not a negative.

Anything multiplied by 0 is 0. Therefore, option B is correct

Option C is correct because a negative times a positive gives a positive.

Option D is correct because you can't solve for different times being multiplied you can only combine like terms therefore your answer will equal the same result here.

Answer:

1

5

is the answer

Step-by-step explanation:

hope it helps you!

Answer:

B. 1 : 1

Step-by-step explanation:

the triangle has the same size of legs (the same angles 45°)

Answer:

C

Step-by-step explanation:

11 times 11 = 121

11 times 12 equals 132

11 times 13 = 143

Answer:

13

Step-by-step explanation:

11x13 is 143 heidnehf

Answer:

Answer B

3 non collinear point

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

Answer: Perimeter: 28 units

Area: 32 square units

Step-by-step explanation:

Answer:

Perimeter = 24

Area =32

Step-by-step explanation:

To find the perimeter, add up the number of outside edges

4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units

To find the area, count the number of boxes in each row

4 + 4+ 8+8+4+4 = 32 units^2

Answer:

[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]

Step-by-step explanation:

Start by converting miles to feet:

[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]

Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.

Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.

Therefore, we have:

[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]

In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).

Therefore, the length of the plane's path is:

[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]

Answer:

or, 2x-x^2+2x^2=1

or,2x+x^2=1

or,x^2+2x-1=0

or,x^2+x+x-1=0

or,x(x+1)+1(x-1)=0

or,(x+1)(x-1)=0

therefore x=(-1,+1)

Answer:

100 times for 1

Step-by-step explanation:

If the cube is a fair one, you would expect it to land on each number about 1/6 of the time. Since 1 is one of the faces, you would expect to land on it 1/6 of the time.

(1/6)*600=100

So any number should land 100 times

Answer:

m= -6

Step-by-step explanation:

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Answer:

d

Step-by-step explanation:

it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division

The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.

An equation of the line through the point (-4, -2) parallel to y = 14x - 3 is 14x - y = 54.

To find an equation of a line through the point (-4, -2) that is parallel to the line y = 14x - 3, we can use the fact that parallel lines have the same slope.

The given line y = 14x - 3 is in slope-intercept form, y = mx + b,

where m represents the slope.

In this case, the slope is 14.

Since the desired line is parallel to the given line, it will also have a slope of 14.

Therefore, the equation of the line can be written as:

y - y1 = m(x - x1),

where (x1, y1) represents the coordinates of the given point (-4, -2), and m represents the slope.

Substituting the values into the equation, we have:

y - (-2) = 14(x - (-4)).

Simplifying this equation gives:

y + 2 = 14(x + 4).

Expanding the right side of the equation:

y + 2 = 14x + 56.

Finally, rearranging the equation to the standard form, we have:

14x - y = 54.

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Answer:

60

Step-by-step explanation:

The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00

The number of apples is 20 and the number of granola bars is 40.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

George will bring 60 total items to school

Let, George will bring 'x' apples.

Therefore, he will bring (60 - x) granola bars.

Given, apples cost $0.75 each, and granola bars cost $0.15 each.

Therefore, cost of all apples is $0.75x.

Cost of all granola bars is:

= $(60 - x) × 0.15

= $(9 - 0.15x)

The system of equation to find the number of apples and number of granola bars is: [0.75x + (9 - 0.15x)] = 21.00

Now, [0.75x + (9 - 0.15x)] = 21.00

⇒ [0.75x - 0.15x] = 21.00 - 9

⇒ 0.6x = 12.00

⇒ x = (12.00 ÷ 0.6)

⇒ x = 20

Therefore, the number of apples George will bring to school is 20.

Now, the number of granola bars George will bring to school is (60 - 20) = 40.

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Answer:

x = 15

Step-by-step explanation:

The two angles add to a straight line, so they add to 180

6x-5 + 6x+5 = 180

Combine like terms

12x = 180

Divide by 12

12x/12 =180/12

x =15

Answer:

x = 15

Step-by-step explanation:

Two angles are supplementary and their sum is 180

6x + 5 + 6x - 5 = 180 add like terms

12x = 180 divide both sides by 12

x = 15

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

rounding 0.0692494 to 3SF is 0.069

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Given the slope of the red line is 4 , then the slope of the green line is

m = - [tex]\frac{1}{4}[/tex] → C

The slope of the green line is C (m = -1/4 )

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

We are Given a line with slope m then the slope of a line perpendicular to it is m

m (perpendicular) = -1/m

Given the slope of the red line is 4 , then the slope of the green line is;

m = -1/4

Therefore the slope of the green line m = -1/4.

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Answer:

11

Step-by-step explanation:

15-12=3

so

x-8=3

x=11

Answer:

22.5 in.

Step-by-step explanation:

Both triangles have 110º so that means they are equal.

12x15=180 inches

So, X=22.5 inches

Answer:

∠XWV ∠UWV

Hope this helps! :)

Answer:91%

Step-by-step explanation:

Answer:

1115.8

Step-by-step explanation: